In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary.b = 7 yd, c = 14 yd
A. a = 7 yd
B. a ? 12.1 yd
C. a ? 9.9 yd
D. a ? 4.6 yd
Answer: B
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Find all the roots of the complex number. Put answers in standard form.Square roots of j
A. -1, 1
B. -j, j
C. 
+ 
j, - 
- 
j
D. 
- 
j, - 
+ 
j
Use a vertical format to find the product.4y3 + 8y2 + 3y + 5
A. 8y4 + 12y3 + 40y2 + 15y + 25 B. 8y4 + 28y3 + 30y2 + 19y + 15 C. 28y4 + 28y3 + 40y2 + 15y D. 28y4 + 40y3 + 15y2 + 25y
Use the table to determine the probability. Round your answer to three decimal places if necessary.Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." The results are displayed in the following table.
What is the probability that a student selected is considered a Liberal, given that the student is male?
A. 0.23 B. 0.333 C. 0.391 D. 0.367
Solve.If a tree 52.5 feet tall casts a shadow that is 21 feet long, find the height of a tree casting a shadow that is 5 feet long. Round to the nearest tenth of a foot, if necessary.
A. 36.5 ft B. 220.5 ft C. 2 ft D. 12.5 ft